Thingamajig, LLC needs to make $97,000$ parts each year, with each part requiring three processing steps $($turning$,$ then milling, and then drilling$).$ Assume $200$ working days per year. The scrap rates at these processes are $4\%,3\%,$ and $1\%,$ respectively. $(10$ points$)$ To get $97,000$ satisfactory parts at the end, how many times will each operation $($turning$,$ milling, drilling$)$ need to occur? Round up to the nearest integer at each step. $(20$ points$)$ Suppose that the standard times for turning, milling, and drilling are $1\mathrm{.}3$ min, $2\mathrm{.}3$ min, and $2\mathrm{.}7$ min, respectively, and that the machines operate for $75\%$ of each $8-$hour workday. At minimum, how many of each machine type $($turning$,$ milling, drilling$)$ are needed? Show your work $($or Excel formulas$).$